Sierpinski Assignment

Motivation

We will recursively generate some images with the Racket Image Library.

Code To Investigate

placement

• beside
• above
• overlay overlay/align
• rotate

shapes

• triangle
• circle
• square
• rectangle
• frame

Spacer

; fully transparent rectangle
(define (spacer-rect w h)
  (rectangle w h "outline" (color 0 0 0 0)))

; fully transparent image the size of img
(define (spacer-image img)
  (spacer-rect (image-width img) (image-height img)))

Sierpiński

file:	src/main/racket/sierpinski_and_cantor/sierpinski.rkt
functions:	sierpinski-triangle sierpinski-carpet

Triangle

Sierpiński Triangle

(define (sierpinski-triangle side-length n)
  (raise 'not-yet-implemented #t))

n=0	n=1	n=2	n=3	n=4

Note: this has a remarkably clean solution. It is almost as if the Racket Image Library was created to build the Sierpiński Triangle.

Carpet

(define (sierpinski-carpet side-length n)
  (raise 'not-yet-implemented #t))

n=0	n=1	n=2	n=3	n=4

Cantor

Cantor set

file:	src/main/racket/sierpinski_and_cantor/cantor.rkt
functions:	cantor-stool

Stool

(define (cantor-stool width height n)
  (raise 'not-yet-implemented #t))

n=0	n=1	n=2	n=3	n=4

Note: you have been provided with a function which draws a red rectangle outlined in blue.

(define (brick w h)
 (overlay
  (rectangle w h "outline" "blue")
  (rectangle w h "solid" "red")
  )
 )